Beyond the natural proteome, high-throughput mutagenesis offers the protein engineer an opportunity to "tweak" the wild-type activity of a protein to create a recombinant protein with required attributes. Of the various approaches available, saturation mutagenesis is one of the core techniques employed by protein engineers, and in recent times, nondegenerate saturation mutagenesis is emerging a...

We characterize the conditions under which completing a Delaunay tessellation produces a connguration that is a nondegenerate Delaunay triangulation of an arbitrarily small perturbation of the original sites. One consequence of this result is a simple postpro-cessing step for resolving degeneracies in Delaunay triangulations that does not require symbolic perturbation of the data. We also give ...

The propagation dynamics of the nucleus-acoustic waves (NAW) in a quantum plasma composed nondegenerate inertial light nuclei, stationary heavy and ultra-relativistically degenerate electrons positrons has been theoretically investigated within framework Boussinesq equation, which is valid for bi-directional small but finite amplitude limit. N-soliton solution equation derived using Hirota's me...

One of the basic design criteria for a block encryption function is to ensure that for each xed key, each ciphertext bit depends nonlinearly on each plaintext bit. When the ciphertext is represented using boolean equations depending on the key and plaintext, these equations should then be nondegenerate so that it is possible that each bit of the key and plaintext can innuence each ciphertext bi...

Generalizing the degenerate KAM theorem under the Rüssmann non-degeneracy and the isoenergetic KAM theorem, we employ a quasi-linear iterative scheme to study the persistence and frequency preservation of invariant tori on a smooth sub-manifold for a real analytic, nearly integrable Hamiltonian system. Under a nondegenerate condition of Rüssmann type on the sub-manifold, we shall show the follo...

Abstract It is well known that the diffeomorphism type of Milnor fibration a (Newton) nondegenerate polynomial function f uniquely determined by Newton boundary . In present paper, we generalize this result to certain degenerate functions, namely show (possibly degenerate) form $f=f^1\cdots f^{k_0}$ boundaries $f^1,\ldots , if $\{f^{k_1}=\cdots =f^{k_m}=0\}$ complete intersection variety for an...

We present a quantum theory of nondegenerate phase-sensitive parametric amplification in a χ nonlinear medium. The non-zero response time of the Kerr (χ) nonlinearity determines the quantum-limited noise figure of χ parametric amplification, as well as the limit on quadrature squeezing. This non-zero response time of the nonlinearity requires coupling of the parametric process to a molecular-vi...

A Superconducting QUantum Interference Device (SQUID) modulated by a fast oscillating magnetic flux can be used as a parametric amplifier, providing gain with very little added noise. Here, we develop linearized models to describe the parametrically flux-pumped SQUID in terms of an impedance. An unpumped SQUID acts as an inductance, the Josephson inductance, whereas a flux-pumped SQUID develops...